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15 votes
15 votes
Use substitution to solve the system.

- 3x+y = 14
2x + 3y = -2

Х
5
?
y = 0

User Timothy Rylatt
by
3.1k points

1 Answer

10 votes
10 votes

Answer:

x= -4 and y=2

Explanation:

-3x+y=14 ...eqn 1

2x+3y= -2....eqn 2

from eqn 1

-3x+y=14

y=14+3x

substitute y=14+3x into eqn 2

2x+3(14+3x) = -2

2x+ 42+ 9x = -2

11x= -2-42

11x= -44

x = -4

substitute X = -4 into eqn 1 to get y

-3x+y=14

-3(-4) +y =14

12+y= 14

y= 14-12

y =2

User Yogesh Nogia
by
3.3k points